We study small-amplitude steady water waves with multiple critical layers. Those are rotational two-dimensional gravity-waves propagating over a perfect fluid of finite depth. It is found that arbitrarily many critical layers with cat’s-eye vortices are possible, with different structure at different levels within the fluid. The corresponding vorticity depends linearly on the stream function.
Steady water waves with multiple critical layers: interior dynamics / J.Escher; M.Ehrnstrom; G.Villari. - In: JOURNAL OF MATHEMATICAL FLUID MECHANICS. - ISSN 1422-6928. - STAMPA. - 14:(2012), pp. 407-419. [10.1007/s00021-011-0068-8]
Steady water waves with multiple critical layers: interior dynamics
VILLARI, GABRIELE
2012
Abstract
We study small-amplitude steady water waves with multiple critical layers. Those are rotational two-dimensional gravity-waves propagating over a perfect fluid of finite depth. It is found that arbitrarily many critical layers with cat’s-eye vortices are possible, with different structure at different levels within the fluid. The corresponding vorticity depends linearly on the stream function.File | Dimensione | Formato | |
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